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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.04439 |
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| _version_ | 1866911217922080768 |
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| author | Kanyolo, Godwill Mbiti Masese, Titus |
| author_facet | Kanyolo, Godwill Mbiti Masese, Titus |
| contents | Motivated by a recent pseudo-spin model for monolayer-bilayer phase transitions in silver-based honeycomb layered materials, we propose that the critical pseudo-magnetic fields in such systems correspond to both the infinite-channel Feshbach resonance widths of a (Fermi-Dirac/Bose-Einstein/etc.) condensate in 2 dimensions, and equivalently to the Lee-Yang zeros of the Ising model of two pseudo-spins with a partition function corresponding to a class of functions that must include the Riemann Xi function. Identifying the quantum-mechanical operator that yields the discontinuous/random/topological spectrum of the critical pseudo-magnetic fields in such systems offers a tenable realisation of the Hilbert-Pólya conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04439 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hilbert-Pólya conjecture via critical pseudo-magnetic degrees of freedom Kanyolo, Godwill Mbiti Masese, Titus Materials Science Motivated by a recent pseudo-spin model for monolayer-bilayer phase transitions in silver-based honeycomb layered materials, we propose that the critical pseudo-magnetic fields in such systems correspond to both the infinite-channel Feshbach resonance widths of a (Fermi-Dirac/Bose-Einstein/etc.) condensate in 2 dimensions, and equivalently to the Lee-Yang zeros of the Ising model of two pseudo-spins with a partition function corresponding to a class of functions that must include the Riemann Xi function. Identifying the quantum-mechanical operator that yields the discontinuous/random/topological spectrum of the critical pseudo-magnetic fields in such systems offers a tenable realisation of the Hilbert-Pólya conjecture. |
| title | Hilbert-Pólya conjecture via critical pseudo-magnetic degrees of freedom |
| topic | Materials Science |
| url | https://arxiv.org/abs/2411.04439 |